Applied Calculus

Which of the following is an example of a tangent line?

• 
• 
• 

Fill in the blank in the Difference Quotient:

• h

• b-a

• x+h

Which of the following graph shows a differentiable function?

• 
• 
• 

What is the rate of change shown by this tangent line?

• Positive (+)

• Zero (0)

• Negative (-)

What is the derivative of x⁶ ?

• x⁶

• 6x⁵

• 6x⁷

• 5x⁶

 $f\left(x\right)=x^{\frac{1}{3}}$  
What is  $f'\left(x\right)$  ?

•  $\frac{1}{3}x^{-\frac{2}{3}}$  

•  $-\frac{2}{3}x^{\frac{1}{3}}$  

•  $x^{\frac{1}{3}}$  

•  $\frac{1}{3}x^{\frac{4}{3}}$  

 $\frac{\text{d}}{\text{d}x}\ 2x^2$  

•  $x^4$  

•  $2x^2$  

•  $3x^3$  

•  $4x$  

Rewrite  $\frac{1}{\sqrt{x}}$  to be in exponential form.

•  $x^{-2}$  

•  $x^{-1}$  

•  $x^{-\frac{1}{2}}$  

•  $x^{\frac{1}{2}}$  

Tags

CCSS.HSN.RN.A.2

 $y=13x+13$  

 $y\ '=\ ?$  

•  $26x+13$  

• 13

• 0

•  $13x$  

Tags

CCSS.HSF.IF.A.1

Find the solution if $y=\frac{1}{3}x^3$   

•  $x^2$  

• 2

•  $x^{-\frac{2}{3}}$  

• 4